Let's divide 108581 by 25
We're looking to find how many times 25 goes into 108581.

Moving on to step 1:
25 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 25

Advancing to step 2:
25 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 25

Step 3:
108 divided by 25 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 100 from 108 to get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 25

Going ahead to step 4:
When dividing 85 by 25, we get 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 43.0
Subtracting 75 from 85 leaves us with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 25

Advancing to step 5:
25 goes into 108 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 434.0
The remainder is 8 after subtracting 100 from 108.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 25

Let's proceed to step 6:
25 can be fit into 81 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 4343.0
Subtracting 75 from 81 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
When dividing 60 by 25, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 4343.2
If we subtract 50 from 60, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 25, we get 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 4343.24
The remainder is 0 after subtracting 100 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 4343.24
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4343.24
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 4343.24 with a balance of 0.0.